220301011133301 has 16 divisors (see below), whose sum is σ = 337101367910400. Its totient is φ = 125359571185968.

The previous prime is 220301011133267. The next prime is 220301011133353. The reversal of 220301011133301 is 103331110103022.

It is a happy number.

It is not a de Polignac number, because 220301011133301 - 2⁷ = 220301011133173 is a prime.

It is a super-2 number, since 2×220301011133301² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220301011133201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21946698621 + ... + 21946708658.

It is an arithmetic number, because the mean of its divisors is an integer number (21068835494400).

Almost surely, 2^{220301011133301} is an apocalyptic number.

220301011133301 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

220301011133301 is a deficient number, since it is larger than the sum of its proper divisors (116800356777099).

220301011133301 is a wasteful number, since it uses less digits than its factorization.

220301011133301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43893407528.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 220301011133301 its reverse (103331110103022), we get a palindrome (323632121236323).

The spelling of 220301011133301 in words is "two hundred twenty trillion, three hundred one billion, eleven million, one hundred thirty-three thousand, three hundred one".